Information on Result #683446

Linear OA(565, 625, F5, 21) (dual of [625, 560, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(569, 629, F5, 22) (dual of [629, 560, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(566, 630, F5, 21) (dual of [630, 564, 22]-code) [i]✔
3Linear OA(566, 634, F5, 20) (dual of [634, 568, 21]-code) [i]✔
4Linear OA(568, 636, F5, 21) (dual of [636, 568, 22]-code) [i]✔
5Linear OA(580, 640, F5, 24) (dual of [640, 560, 25]-code) [i]✔
6Linear OA(569, 641, F5, 21) (dual of [641, 572, 22]-code) [i]✔
7Linear OA(587, 645, F5, 26) (dual of [645, 558, 27]-code) [i]✔
8Linear OA(588, 648, F5, 26) (dual of [648, 560, 27]-code) [i]✔
9Linear OA(571, 645, F5, 21) (dual of [645, 574, 22]-code) [i]✔
10Linear OA(572, 648, F5, 21) (dual of [648, 576, 22]-code) [i]✔
11Linear OA(569, 645, F5, 20) (dual of [645, 576, 21]-code) [i]✔
12Linear OA(591, 649, F5, 27) (dual of [649, 558, 28]-code) [i]✔
13Linear OA(592, 652, F5, 27) (dual of [652, 560, 28]-code) [i]✔
14Linear OA(577, 657, F5, 21) (dual of [657, 580, 22]-code) [i]✔
15Linear OA(575, 655, F5, 20) (dual of [655, 580, 21]-code) [i]✔
16Linear OA(599, 659, F5, 28) (dual of [659, 560, 29]-code) [i]✔
17Linear OA(5105, 665, F5, 29) (dual of [665, 560, 30]-code) [i]✔
18Linear OA(5113, 673, F5, 31) (dual of [673, 560, 32]-code) [i]✔
19Linear OA(5111, 671, F5, 30) (dual of [671, 560, 31]-code) [i]✔
20Linear OA(5119, 677, F5, 32) (dual of [677, 558, 33]-code) [i]✔
21Linear OA(587, 647, F5, 26) (dual of [647, 560, 27]-code) [i]✔
22Linear OA(571, 647, F5, 21) (dual of [647, 576, 22]-code) [i]✔
23Linear OA(590, 650, F5, 27) (dual of [650, 560, 28]-code) [i]✔
24Linear OA(5104, 661, F5, 29) (dual of [661, 557, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(598, 655, F5, 28) (dual of [655, 557, 29]-code) [i]✔
26Linear OA(5101, 662, F5, 28) (dual of [662, 561, 29]-code) [i]✔
27Linear OA(596, 658, F5, 27) (dual of [658, 562, 28]-code) [i]✔
28Linear OA(595, 656, F5, 27) (dual of [656, 561, 28]-code) [i]✔
29Linear OA(592, 653, F5, 26) (dual of [653, 561, 27]-code) [i]✔
30Linear OA(586, 643, F5, 26) (dual of [643, 557, 27]-code) [i]✔
31Linear OA(590, 654, F5, 25) (dual of [654, 564, 26]-code) [i]✔
32Linear OA(592, 655, F5, 26) (dual of [655, 563, 27]-code) [i]✔
33Linear OA(589, 652, F5, 25) (dual of [652, 563, 26]-code) [i]✔
34Linear OA(591, 653, F5, 26) (dual of [653, 562, 27]-code) [i]✔
35Linear OA(588, 650, F5, 25) (dual of [650, 562, 26]-code) [i]✔
36Linear OA(590, 651, F5, 26) (dual of [651, 561, 27]-code) [i]✔
37Linear OA(579, 636, F5, 24) (dual of [636, 557, 25]-code) [i]✔
38Linear OA(582, 643, F5, 24) (dual of [643, 561, 25]-code) [i]✔
39Linear OA(571, 632, F5, 22) (dual of [632, 561, 23]-code) [i]✔
40Linear OA(567, 632, F5, 21) (dual of [632, 565, 22]-code) [i]✔
41Linear OA(567, 636, F5, 20) (dual of [636, 569, 21]-code) [i]✔
42Linear OA(570, 643, F5, 21) (dual of [643, 573, 22]-code) [i]✔
43Linear OA(574, 654, F5, 20) (dual of [654, 580, 21]-code) [i]✔
44Linear OA(576, 655, F5, 21) (dual of [655, 579, 22]-code) [i]✔
45Linear OA(573, 652, F5, 20) (dual of [652, 579, 21]-code) [i]✔
46Linear OA(575, 653, F5, 21) (dual of [653, 578, 22]-code) [i]✔
47Linear OA(572, 650, F5, 20) (dual of [650, 578, 21]-code) [i]✔
48Linear OA(571, 648, F5, 20) (dual of [648, 577, 21]-code) [i]✔
49Linear OA(578, 659, F5, 21) (dual of [659, 581, 22]-code) [i]✔
50Linear OA(576, 657, F5, 20) (dual of [657, 581, 21]-code) [i]✔
51Linear OA(592, 653, F5, 27) (dual of [653, 561, 28]-code) [i]✔